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Finding the Fourth Proportional to 9,193.48, 12,682.80 and 5,655.40

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Solution

The fourth proportional to 9,193.48, 12,682.80 and 5,655.40 is: 7,801.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,193.48 : 12,682.80 = 5,655.40 : x
  2. Step 2: Convert to fraction form
    9,193.48/12,682.80 = 5,655.40/x
  3. Step 3: Cross multiply
    9,193.48x = 12,682.80 × 5,655.40
  4. Step 4: Simplify right side
    9,193.48x = 71,726,307.12
  5. Step 5: Solve for x
    x = 71,726,307.12/9,193.48
  6. Step 6: Final answer
    x = 7,801.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.